A beautiful mind
Yesterday I got caught in a heavy rain. Sheltered under a tatty roof together with about 100 mosquitos, I watched this movie and finished another book about animal right.
I’d seen the movie for many times and people’d said tons of things about it
; I just wanted to talk about an interesting model in it: remember the part John and Sol, Martin… talking women? the situation in reality: Five men and five women. Let’s assign them with simplified names and competitive indexes; let’s say: M1 91, M2 83, M3 79, M4 78, M5 72 and W1 90, W2 82, W3 77, W4 75, W5 70. The higner has the advantage over the lower, but the lower does have a chance to win the game, though small. Many other factors affect the game. For now, ignore them.
So how do we get the best result?
Martin quoted Adam Smith: In competition, individual ambition served the common good. Here, if all 5 men ran for W1, 95% or more, M1 or M2 won and the rest of men got no woman at all cause their first strategy insulted other women (humilated, assume that men couldn’t do these things in secret). This was obviously not the best result (maybe better as the time healed some wounds). Then, what is the best approach? This involves the governing dynamic which requirs individuals, when planning acts and calculating possibilities, to take others into consideraton. Here, M3, for example, would think M1 and M2 were strong, M4 was equal, M5 was weak, W1 hard to get, W2 and W3 were best targets with fair scores and possibilities. This way, the resources got allocated efficiently and we most possibly got the best result.
Another point: this approach is just a complement. Adam Smith is still right, I think. W1 was not the right choice, best result, for everyone. En=Sn*Pn. Say, M3 has 5% to get W1, 55% W3; then E1=90*.05=4.5, while E3=77*.55=42.35. So E3 was the best result he MAY have. Every indivudual running for the best result they MAY have severs the common good, to be sure.
This is a very simple question, which makes me think of our college application. Anyway, when making choices, we encouter math and economics.
I’ve an interesting thought. If we expand the model to 3 billion men and 3 billion women. How to get the best result for our humankind? The answer is: similiar, near, people go together. M90 marries W90. Sometimes M60 does marry W90, but considering the infinite samples (No? try 3,000,000,000 women in 100 year? ), negative and positive results neutralize each other. Acutually, men are imprecise choice-making animials. Nearly all the choices we make are not equal. It is form all the inequalities we see the equalty.
This also helps our improvement, which makes the liasion among best and similiar genes posiible.
Well, too far away. Back, yeah, a fine movie indeed. Especially I loved the last line, "you are all my reasons".
Maybe it’ll survive.
pass by…
@Yunwen nice dream^^